BCAM Scientific Seminar: Reconstruction of algebraic surfaces from their silhoettes

Abstract: 
We provide an algorithm to reconstruct a smooth algebraic surfaces in three-dimensional projective space from its silhouette, i.e, the branching locus of a single projection to the projective plane. Later we will focus on the case of smooth cubic surfaces, whose silhouette is approximated by a cloud of scattered points. Unfortunately, being a silhouette is unstable under small perturbation. Therefore the goal is to find a planar curve approximating the input points together with the additional property of being the silhouette. 

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